Hamiltonian Dynamics

This is both a textbook and a monograph.

It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity.

As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations.

Book Details

• Author: Vilasi Gaetano
• Publisher: World Scientific
• eBook ISBN: 9789812386311, 9812386319
• Print ISBN: 9789810233082, 9810233086